how to simplify 125 raise to power 4/3 please answer faster
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Answer:

t=5s-3

Step-by-step explanation:

Flip the equation:

5s+t=-3

then add 5s to both sides:

-5s+t+5s=-3+5s

then solve:

5s-3=t

Answer: (-3, 0)

Step-by-step explanation: Isolate the y variable, so you get 15y = 15 + 5x, then divide by 15, y = 1 + 1/3x. To get the x intercept, the y has to be equal to 0, so we get 0 = 1 + 1/3x.

0 = 1+1/3x

-1 = 1/3x

-3 = x

Answer:

x = - 3

Step-by-step explanation:

To get the x intercept, y has to be equal to 0.

- 5·x + 15·y = 15

- 5·x + 15·0 = 15

- 5·x = 15

x = 15/(- 5)

x = - 3

Using mean and outlier concepts, it is found that:

--------------------------

--------------------------

Thus, the mean is:

\(M = \frac{80 + 92 + 91 + 75 + 89 + 84 + 0 + 85}{8} = 74.5\)

Brandee's mean was of 74.5, which doesn't really represent her abilities, as in 7 of the 8 tests she got higher grades than this, but her mean is really affected by the outlier grade of 0%, for the test she missed.

--------------------------

\(M = \frac{80 + 92 + 91 + 75 + 89 + 84 + 90 + 85}{8} = 85.75\)

Brandee's new mean will be of 85.75, which increases her final grade by 11.25 points, and is a more accurate representation of her abilities, as there is not an outlier grade.

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Rounding to the nearest hundredth, the expected value of the winnings from the given payout probability distribution is approximately 1.98 dollars.

To find the expected value of the winnings from the given payout probability distribution, we need to multiply each payout amount by its corresponding probability and then sum up these products.

Payout ($): 0 2 4 8

Probability: 0.50 0.25 0.13 0.06 0.06

Expected Value = (0 * 0.50) + (2 * 0.25) + (4 * 0.13) + (8 * 0.06) + (8 * 0.06)

Calculating each term:

(0 * 0.50) = 0

(2 * 0.25) = 0.50

(4 * 0.13) = 0.52

(8 * 0.06) = 0.48

(8 * 0.06) = 0.48

Summing up these products:

Expected Value = 0 + 0.50 + 0.52 + 0.48 + 0.48 = 1.98

Rounding to the nearest hundredth, the expected value of the winnings from the given payout probability distribution is approximately 1.98 dollars.

The expected value represents the average amount one can expect to win from the game over the long run, taking into account the probabilities and payouts associated with each outcome. In this case, the expected value suggests that, on average, a player can expect to win around 1.98 dollars per game.

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The width of a rectangular rug is \(2\frac{1}{4} yards\)

From the question, we have

Length(l) = 4 yards

Area of a rectangular rug = 9 square yards.

We know that,

Area of a rectangular rug = length × width

⇒\(9 = 4*width\)

⇒\(width=\frac{9}{4} =2\frac{1}{4} yards=2.25 yards\)

Area of rectangle:

Rectangle area in geometry refers to the area that a rectangle occupies on a two-dimensional plane. A quadrilateral, a form of two-dimensional object with four sides and four vertices, is what a rectangle is. The rectangle's four angles are all right angles or exactly 90 degrees. The rectangle's opposing sides are equal and parallel to one another. It should be noted that a parallelogram likewise has equal and parallel opposite sides, but the angles are not exactly 90 degrees.

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Answer:

Step-by-step explanation:

(2  - 5i) - (3 + 4i) = 2 - 5i - 3 - 4i    {Distribute (-1) }

                          = 2 - 3 - 5i - 4i      {Combine like terms}

                           = -1 - 9i

Answer:

0

Step-by-step explanation:

Answer: 5n+14-11n-2

Step-by-step explanation:

Yes, the diagonals of a parallelogram bisect each other as well as the angles they intersect. This means that each diagonal divides the parallelogram into two congruent triangles and each angle formed by the intersection of the diagonals is bisected into two equal angles.

The diagonals of a parallelogram have the following properties :

They bisect each other, meaning they divide each other into two equal parts.

They do not bisect the angles of the parallelogram, meaning they do not divide the angles into two equal parts, except in some special cases such as a rectangle or a rhombus.

They divide the parallelogram into two congruent triangles, meaning the triangles have equal sides and angles.

So, the answer to your question is no, the diagonals of a parallelogram do not bisect the angles in general. However, if the parallelogram is a rectangle or a rhombus, then the diagonals do bisect the angles

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Calculate 11,881,376 possible combinations for a lock with 5 dials using permutations, multiplying 26 combinations for each dial.

To find the number of possible combinations for a lock with 5 dials, where each dial has letters from a to z, we can use the concept of permutations.

Since each dial has 26 letters (a to z), the number of possible combinations for each individual dial is 26.

To find the total number of combinations for all 5 dials, we multiply the number of possible combinations for each dial together.

So the total number of possible combinations for the lock is 26 * 26 * 26 * 26 * 26 = 26^5.

Therefore, there are 11,881,376 possible combinations for the lock.

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Answer:

Average attendance with outlier = 39

Average attendance without outlier = 35.3

Step-by-step explanation:

Given the following data 34, 37, 30, 65, 34, 38, 41, 33

The outlier is the value that is lower or higher than other values in the dataset. Hence the outlier in this case is 65

Average = Sum of data/sample size

With the outlier;

Sum of dataset =  34+37+30+65+34+38+41+33

Sum of datasets = 312

Sample size =  8

Average attendance with the outlier = 312/8

Average attendance with the outlier = 39

Without the outlier;

The required data will exclude 65;

34, 37, 30, 34, 38, 41, 33

Sum of data = 34+37+30+34+38+41+33

Sum of data = 247

Sample size = 7

Average attendance without outlier = 247/7

Average attendance without outlier = 35.3

Based on the given sample data, we do not have sufficient evidence to support the claim made by the community group that the average speed of vehicles on the highway is different from 58.2 mph at a significance level of 0.01.

H0: μ = 58.2 (population mean is 58.2 mph)

Ha: μ ≠ 58.2 (population mean is different from 58.2 mph)

t = (x - μ) / (s / √n)

x = 53.9 mph, μ = 58.2 mph, s = 8.04, and n = 18.

t = (53.9 - 58.2) / (8.04 / √18)

  = (-4.3) / (8.04 / √18)

   ≈ -1.713

Since we have a two-tailed test, we need to find the critical t-values that correspond to the significance level (α/2) and degrees of freedom (n - 1).

Using a t-table, the critical t-values for α/2 = 0.01/2 = 0.005 and degrees of freedom (df) = 18 - 1 = 17 are approximately -2.898 and 2.898.

Since the calculated t-value (-1.72) falls within the range of the critical t-values (-2.898 to 2.898), we fail to reject the null hypothesis.

Therefore, based on the given sample data, we do not have sufficient evidence to support the claim made by the community group that the average speed of vehicles on the highway is different from 58.2 mph at a significance level of 0.01.

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Answer:

846x + 2123

 —————

     423  

Step-by-step explanation:

STEP

1

:

            8

Simplify   ———

           423

Equation at the end of step

1

:

              8

 (2x + 5) +  ———

             423

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  423  as the denominator :

              2x + 5     (2x + 5) • 423

    2x + 5 =  ——————  =  ——————————————

                1             423      

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(2x+5) • 423 + 8     846x + 2123

————————————————  =  ———————————

      423                423    

Final result :

  846x + 2123

 ———————————

     423  

Substitution is the name of the process in algebra which is used for swapping an algebraic letter for its value.

The substitution method is the algebraic method to solve different linear equations. In this method, the value of one variable from one of the equations is substituted in the other equation.

In substitution the following steps are used to solve an equation by substitution method:

Step 1. Simplify the given equation by removing the parenthesis.

Step 2. Solve one of the equations for any unknown value.

Step 3. Substitute step 2 result in the other equation.

Step 4. Now solve the equation which gets from step 3 obtained using elementary arithmetic operations.

Step 5. Finally, solve the final equation for the second variable.

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Thus , multiplication factor answer is water desalination plant can produce 2.8 x 10⁶ gallons per day. Thus, it can produce 1.4 x 10⁷gallons in 5 days.

A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder. Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. In math, multiply means the repeated addition of groups of equal sizes. To understand better, let us take a multiplication example of the ice creams. Each group has ice creams, and there are two such groups.

Here,

So if there was 5 days, it would produce 5 times the amount above.

So 5 × (2.8 × 10⁶) = 14 × 10⁶

We must rewrite in scientific notation, so:

14 x 10⁶ = 1.4 x 10⁷

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Thus , multiplication factor answer is water desalination plant can produce 2.8 x 10⁶ gallons per day. Thus, it can produce 1.4 x 10⁷gallons in 5 days.

A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder. Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. In math, multiply means the repeated addition of groups of equal sizes. To understand better, let us take a multiplication example of the ice creams. Each group has ice creams, and there are two such groups.

Here,

So if there was 5 days, it would produce 5 times the amount above.

So 5 × (2.8 × 10⁶) = 14 × 10⁶

We must rewrite in scientific notation, so:

14 x 10⁶ = 1.4 x 10⁷

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We can say that after answering the offered question The ladder is Pythagorean theorem therefore 15 feet long, rounded up to the next foot. Thus, 15 feet is the solution.

The Pythagorean Theorem is the foundational Euclidean geometry connection that exists between the three sides of the right triangle. According to this rule, the area of either a cube with the length x side is equal to the total of the regions of triangles shared by its other two sides. According to the Pythagorean Theorem, the square that spans the hypotenuse of a right triangle opposite the perfect angle is the combined squares that spanned its sides. It is sometimes expressed as a2 + b2 = c2 in general algebraic notation.

The ladder serves as the hypotenuse in this basic example of a right triangle, which also includes the distance from the house as one of its legs and the ladder's height as its second leg. The Pythagorean theorem can be used to find the ladder's length.

\(c^2 = a^2 + b^2\)

In this instance, we know that the distance from the house (a) is 9 feet, and the height of the ladder (b) is 12 feet. Hence, we can enter these values into the formula as follows:

\(c^2 = 9^2 + 12^2 c^2 = 81 + 144\sc^2 = 225\sc = √225\sc = 15\)

The ladder is therefore 15 feet long, rounded up to the next foot. Thus, 15 feet is the solution.

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Answer:

4

Step-by-step explanation:

2+2=4 dummy

The average price per pound for all the coffee sold is $5.52 per pound, when 650 lb of coffee are sold when the price is $4 per pound, and 400 lb are sold at $8 per pound.

Suppose that 650 lb of coffee are sold when the price is $4 per pound, and 400 lb are sold at $8 per pound. We have to find the average price per pound for all the coffee sold.

Average price is equal to the total cost of coffee sold divided by the total number of pounds sold. We can use the following formula:

Average price per pound = (total revenue / total pounds sold)

In this case, the total revenue is the sum of the revenue from selling 650 pounds at $4 per pound and the revenue from selling 400 pounds at $8 per pound. That is:

total revenue = (650 lb * $4/lb) + (400 lb * $8/lb)

= $2600 + $3200

= $5800

The total pounds sold is simply the sum of 650 pounds and 400 pounds, which is 1050 pounds. That is:

total pounds sold = 650 lb + 400 lb

= 1050 lb

Using the formula above, we can calculate the average price per pound:

Average price per pound = total revenue / total pounds sold= $5800 / 1050

lb= $5.52 per pound

Therefore, the average price per pound for all the coffee sold is $5.52 per pound, when 650 lb of coffee are sold when the price is $4 per pound, and 400 lb are sold at $8 per pound.

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-⅔ (6x + 9) = 18

Apply distributive property. Multipy -⅔ to 6x and 9.

-4x - 6 = 18

Add 6 to both sides so -4x can be alone.

-4x - 6 + 6 = 18 + 6

-4x = 24

To get x alone, divide both sides by -4.

-4/-4x = 24/-4

x = -6

x = -6 is your answer. I hope this helps! Let me know if you need more help or if I got something wrong.

The probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

To find the probability that the average number of hours of overtime worked by a random sample of 140 employees exceeds 20 hours, we can use the Central Limit Theorem (CLT). The CLT states that for a large enough sample size, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

Given that the population mean is 18.9 hours and the population standard deviation is 7.8 hours, we can calculate the standard error of the mean using the formula: standard error = population standard deviation / sqrt(sample size).

For this problem, the sample size is 140, so the standard error is 7.8 / sqrt(140) ≈ 0.659.

To calculate the probability, we need to standardize the sample mean using the z-score formula: z = (sample mean - population mean) / standard error.

In this case, the sample mean is 20 hours, the population mean is 18.9 hours, and the standard error is 0.659. Plugging these values into the formula, we get z = (20 - 18.9) / 0.659 ≈ 1.71.

Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 1.71. Looking up this value in the table, we find that the probability is approximately 0.9564.

Therefore, the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

Here's a sketch to visualize the calculation:

                  |

                  |

                  |

                  |       **

                  |      *  *

                  |     *    *

                  |    *      *

                  |   *        *

                  |  *          *

                  | *            *

-------------------|--------------------------

      18.9        |       20

The area under the curve to the right of 20 represents the probability we're interested in, which is approximately 0.9564 or 95.64%.

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Answer:

3 = 2/3X + 3

Step-by-step explanation:

The simplification of the given algebraic expression is;

yz = (z + 1)/z(z - 1)

We are given y left parenthesis z right parenthesis which is expressed as; yz

Now, we are given the algebraic expression that yz equals space fraction numerator z squared minus 1 over denominator z left parenthesis z minus 1 right parenthesis squared end fraction

z squared minus 1 over denominator z left parenthesis z minus 1 right parenthesis squared end fraction is expressed as; (z² - 1)/z(z - 1)²

Thus, our main expression is;

yz = (z² - 1)/z(z - 1)²

Factorizing the numerator and denominator gives;

yz = (z + 1)(z - 1)/z(z - 1)(z - 1)

(z - 1) is common to both numerator and denominator and as such, we now have;

yz = (z + 1)/z(z - 1)

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x - y = (2m-n) - (m+n)

x - y = 2m-n - m - n

x - y = (2m - m) + (-n - n)

x - y = m - 2n

Don't forget to distribute the negative to each term inside (m+n)

The profession that is projected to have the greatest percent of increase in the number of jobs from 2006 to 2016 is B. sound engineer technician.

The increase in percentage for orthodontist will be:

= (10214 - 9206) / 9206 × 100

= 1008 / 9206 × 100

= 10.95%

The increase in percentage for sound engineer will be:

= (17864 - 16125) / 16125 × 100

= 1739/16125 × 100

= 10.79%

The increase in percentage for police officer will be:

= (719041 - 648982) / 719041 × 100

= 70059/719041 × 100

= 9.74%

The increase in percentage for editor will be:

= (124135 - 122273)/124135 × 100

= 1862/124135 × 100

= 1.5%

Therefore, the sound engineer has the greatest percentage increase.

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Answer:

sound engineer

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) 3 x 5

b) 15 Celcius

The drama club ordered 150 short-sleeved shirts and 100 long-sleeved shirts.

Let S represent the number of short-sleeved shirts and L represent the number of long-sleeved shirts the drama club ordered.

Given that the price of each short-sleeved shirt is $5, so the revenue from selling all the short-sleeved shirts is 5S.

Similarly, the price of each long-sleeved shirt is $10, so the revenue from selling all the long-sleeved shirts is 10L.

The total revenue from selling all the shirts should be $1,750.

Therefore, we can write the equation:

5S + 10L = 1750

Now, let's use the information from the first week of the fundraiser:

They sold one-third of the short-sleeved shirts, which is (1/3)S.

They sold one-half of the long-sleeved shirts, which is (1/2)L.

The total number of shirts they sold is 100.

So, we can write another equation based on the number of shirts sold:

(1/3)S + (1/2)L = 100

Now, you have a system of two equations with two variables:

5S + 10L = 1750

(1/3)S + (1/2)L = 100

You can solve this system of equations to find the values of S and L. Let's first simplify the second equation by multiplying both sides by 6 to get rid of the fractions:

2S + 3L = 600

Now you have the system:

5S + 10L = 1750

2S + 3L = 600

Using the elimination method here.

Multiply the second equation by 5 to make the coefficients of S in both equations equal:

5(2S + 3L) = 5(600)

10S + 15L = 3000

Now, subtract the first equation from this modified second equation to eliminate S:

(10S + 15L) - (5S + 10L) = 3000 - 1750

This simplifies to:

5S + 5L = 1250

Now, divide both sides by 5:

5S/5 + 5L/5 = 1250/5

S + L = 250

Now you have a system of two simpler equations:

S + L = 250

5S + 10L = 1750

From equation 1, you can express S in terms of L:

S = 250 - L

Now, substitute this expression for S into equation 2:

5(250 - L) + 10L = 1750

Now, solve for L:

1250 - 5L + 10L = 1750

Combine like terms:

5L = 1750 - 1250

5L = 500

Now, divide by 5:

L = 500 / 5

L = 100

So, the drama club ordered 100 long-sleeved shirts. Now, use this value to find the number of short-sleeved shirts using equation 1:

S + 100 = 250

S = 250 - 100

S = 150

So, the drama club ordered 150 short-sleeved shirts and 100 long-sleeved shirts.

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Complete question:

The drama club is selling short-sleeved shirts for $5 each, and long-sleeved shirts for $10 each. They hope to sell all of the shirts they ordered, to earn a total of $1,750. After the first week of the fundraiser, they sold StartFraction one-third EndFraction of the short-sleeved shirts and StartFraction one-half EndFraction of the long-sleeved shirts, for a total of 100 shirts.

Research has shown that competent communicators achieve effectiveness by adjusting their behaviors to the person and situation (option e).

Effective communication involves being adaptable and responsive to the specific context, individual preferences, and the needs of the situation.

Competent communicators recognize that different people have different communication styles, preferences, and expectations. They understand the importance of tailoring their communication approach to effectively connect and engage with others.

This may involve using appropriate language, tone, non-verbal cues, and listening actively to understand the needs and perspectives of others.

By adapting their behaviors, competent communicators can build rapport, foster understanding, and promote effective communication exchanges. They are mindful of the social and cultural dynamics at play, and they strive to communicate in a way that is respectful, inclusive, and conducive to achieving mutual goals.

In summary, competent communicators understand that effective communication is not a one-size-fits-all approach. They adjust their behaviors to the person and situation, demonstrating flexibility and adaptability in order to enhance communication effectiveness.

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Competent communicators achieve effectiveness mostly by adjusting their behaviors to suit the person they are communicating with and the situation they find themselves in. While other factors, like having a broad vocabulary or giving feedback, play a part in effective communication, the former is considered the most crucial.

Research suggests that competent communicators achieve effectiveness mostly through adjusting their behaviors depending on the person they are communicating with and the situation they are in. This is option e. of your question. Communicating effectively involves behaviors like active listening, understanding the other person's point of view, being able to express thoughts and ideas clearly, and being polite and respectful. While a broad vocabulary (option b.) can be useful, it is not as crucial as adapting your behavior to fit the situation. Moreover, giving feedback (option d.) is a part of effective communication but not the sole defining factor. Apologizing when offending others (option c.) is also important but it doesn't necessarily make one a competent communicator. Using the same type of behavior in various situations (option a.) might not always work, as different situations and individuals require different communication styles.

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Answer:

1760 sqft

Step-by-step explanation:

10% is 0.1 in decimal, since its increasing, it would be 1.1

1600 times 1.1 is 1760.

Answer:

If p and q vary inversely, the value of p when q = 8 is:

Step-by-step explanation:

If p and q vary inversely then:

\(\boxed{p \propto \dfrac{1}{q}\implies p=\dfrac{k}{q}}\)

where k is a constant to be found.

If p = 14 when q = 4, substitute these values into the equation and solve for k:

\(\implies 14=\dfrac{k}{4}\)

\(\implies 14 \cdot 4=\dfrac{k}{4} \cdot 4\)

\(\implies k=56\)

Substitute the found value of the constant k into the equation to create an equation for p in terms of q:

\(\boxed{p=\dfrac{56}{q}}\)

To find the value of p when q = 8, substitute q = 8 into the equation:

\(\implies p=\dfrac{56}{8}\)

\(\implies p=7\)

Therefore, the value of p when q = 8 is: